Experimental Mechanics

, Volume 51, Issue 4, pp 453–465

Depth-resolved Imaging and Displacement Measurement Techniques Viewed as Linear Filtering Operations

Article

DOI: 10.1007/s11340-010-9393-8

Cite this article as:
Ruiz, P.D., Huntley, J.M. & Coupland, J.M. Exp Mech (2011) 51: 453. doi:10.1007/s11340-010-9393-8

Abstract

The last 5 years have seen the emergence of a family of optical interferometric techniques that provide deformation measurements throughout three-dimensional (3-D) weakly scattering materials. They include wavelength scanning interferometry (WSI), tilt scanning interferometry (TSI), phase contrast spectral optical coherence tomography (PC SOCT) and hyperspectral interferometry (HSI) and can be thought of as a marriage between the phase sensing capabilities of Phase Shifting Interferometry and the depth-sensing capabilities of Optical Coherence Tomography. It was recently shown that some closely related 3-D optical imaging techniques can be treated as shift-invariant linear filtering operations. In this paper, we extend that work to include WSI, TSI, PC SOCT and HSI as spatial filtering operations and also relate the properties of their transfer functions in the spatial frequency domain to their spatial resolution and phase sensitivity, for depth-resolved displacement measurements.

Keywords

Phase imaging Speckle interferometry Optical coherence tomography Wavelength scanning Frequency scanning Tilt scanning Displacement measurement Linear filtering 

Copyright information

© Society for Experimental Mechanics 2010

Authors and Affiliations

  1. 1.Wolfson School of Mechanical and Manufacturing EngineeringLoughborough UniversityLoughboroughUK